{
  "id": "2506.16075",
  "version": "v1",
  "published": "2025-06-19T07:01:21.000Z",
  "updated": "2025-06-19T07:01:21.000Z",
  "title": "H*-Normal Spaces and Some Related Functions",
  "authors": [
    "Neeraj Kumar Tomar",
    "M. C. Sharma",
    "Amit Ujlayan"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "This paper introduces and explores functions defined on \\( H^* \\)-normal spaces through the framework of \\( H^* \\)-open sets. We extend the concept of \\( H^* \\)-normality and investigate its connections with \\( g \\)-normal and classical normal spaces. Additionally, we generalize \\( H^* \\)-closed and \\( H^* \\)-generalized closed functions, analyzing their fundamental properties. Several characterizations of \\( H^* \\)-normal spaces are established, along with preservation theorems that highlight the structural significance of these functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-06-19T07:01:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A05",
      "54C08",
      "54C10",
      "54D15"
    ],
    "keywords": [
      "related functions",
      "structural significance",
      "preservation theorems",
      "fundamental properties",
      "classical normal spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}